16105084800 has 768 divisors, whose sum is σ = 63644736000. Its totient is φ = 3576545280.

The previous prime is 16105084669. The next prime is 16105084811. The reversal of 16105084800 is 848050161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220617564 + ... + 220617636.

It is an arithmetic number, because the mean of its divisors is an integer number (82870750).

Almost surely, 2^16105084800 is an apocalyptic number.

16105084800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16105084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31822368000).

16105084800 is an abundant number, since it is smaller than the sum of its proper divisors (47539651200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16105084800 is an equidigital number, since it uses as much as digits as its factorization.

16105084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 16105084800 in words is "sixteen billion, one hundred five million, eighty-four thousand, eight hundred".